Professor Bus JacoProfessor William "Bus" Jaco
Department of Mathematics, MS401
Oklahoma State University
Stillwater, OK 74078-1058

jaco@math.okstate.edu

Phone: 405-744-6293
FAX: 405-744-8275

And you thought you had gone to the dogs, July 2009.

   

 

 

Research

My research interest is in low-dimensional topology, geometry, combinatorial and geometric group theory, and computational complexity. In recent years most of my research has been on triangulations of 3-manifolds, decision problems, algorithms and complexity. I am normal but maybe on occassion only almost normal; however, in the latter case, a small tweak in either direction and I will become normal.

 

 

Available Papers

Z2-Thurston Norm and Complexity of 3-Manifolds. (preprint) arXiv:0906.4864 (2009). (with Hyam Rubinstein and Stephan Tillmann) .pdf link to preprint.ps link to file
Coverings and Minimal Triangulations of 3-Manifolds. (preprint) arXiv:0903.0112 (2008). (with Hyam Rubinstein and Stephan Tillmann) .pdf link to preprint.ps link to file
Minimal triangulations for an infinite family of lens spaces. Journal of Topology 2009 2: 157-180. (with Hyam Rubinstein and Stephan Tillmann) .pdf link to preprint.ps link to file
Finding planar surfaces in knot- and link-manifolds. JKTR, Vol. 18, No.3 (2009) 397-446. (with J. Hyam Rubinstein and Eric Sedgwick) .pdf link to preprint.ps link to preprint
Layered-triangulations of 3-manifolds. Preprint, (2006), 96 pages, math.GT/0603601. (with J. Hyam Rubinstein)

.pdf download postscript download

0-efficient triangulations of three-manifolds. J. Differential Geometry, 65 (2003), 61-168. (with J. Hyam Rubinstein)
.pdf downlaodghostscript download
Decision problems in the space of Dehn fillings. TOPOLOGY, 42 (2003), 845-906. (with E. Sedgwick)
.pdf downloadghostscript download
Algorithms for essential surfaces in 3-manifold. Contemporary Mathematics, Vol 314, 2002, 107-124. (with David Letscher and Hyam Rubinstein)
.pdf downloadghostscript download

 

 

Publications

Following is a list of publications. Copies may be requested from the author.

Download Publication List (PDF format)

 

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Teaching

Course Notes

MATH 697. TOPICS IN TOPOLOGY. (U MICH, Winter 2006)

CAUTION: These notes were written several years ago; in teaching MATH 697, I have decided to make MAJOR revisions to the style of presentation, the content and the order of material. Thus these notes will be undergoing revision - he said, hopefully.

Set 1. Basic Notions (Preliminary)
.pdf downlaodghostscript download
Set 2. Shrinking and Barrier Surfaces: Existence of Normal Surfaces
.pdf downloadghostscript download
Set 4. Parametrizations of Normal and Almost Normal Surfaces
.pdf downloadghostscript download

 

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Presentations

Here are transparencies of some of the presentations I have given over the past few years.

SURVEY OF EFFICIENT TRIANGULATIONS OF 3-MANIFOLDS

(July 10-11, 2008 - CBMS Conference, Univ of Central OK

.pdf file download.ps file download

EFFICIENT TRIANGULATIONS OF ANANNULAR 3-MANIFOLDS

(May 3, 2008 - AMS Regional Meeting, Claremont Colleges, CA)

.pdf file download.ps file download

HOMEOMORPHISM PROBLEM (For Topologists)

(December 8, 2006 - Columbia University)

(October 28, 2006 - Lehigh-Lafayette)

.pdf file download.ps file download

BLOW-UPS OF IDEAL TRIANGULATIONS

(December 5, 2006 - Rutgers University)

.pdf file download.ps file download

TRIANGULATIONS OF 3-MANIFOLDS

(November 16, 2006 - Princeton University)

.pdf download pstscript download

PEKING SUMMER SCHOOL LECTURES

(July 10-24, 2005 - Beijing, China)

.pdf download

PLANAR SURFACES AND THE WORD PROBLEM

(July 1999, University of Melbourne)

.pdf download

EFFICIENT TRIANGULATIONS

(March 2002, Calvin College)

.pdf download

HOMEOMORPHISM PROBLEM (General Audience)

(March 2004, Florida State University)

.pdf download

 

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Links

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